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We examine a one-dimensional linear waveguide array containing a single saturable waveguide. By using the formalism of lattice Green functions, we compute in closed form the localized mode and the transmission across the impurity in closed…

Pattern Formation and Solitons · Physics 2018-09-19 M. I. Molina

We make use of the time-dependent density functional theory to derive a new formally exact expression for the dc resistivity of metals with impurities. This expression takes fully into account the dynamics of electron-electron interactions.…

Strongly Correlated Electrons · Physics 2014-07-04 V. U. Nazarov , G. Vignale , Y. -C. Chang

We examine theoretically and experimentally the localized %and extended electrical modes existing in a bi-inductive electrical lattice containing a bulk or a surface capacitive impurity. By means of the formalism of lattice Green's…

Pattern Formation and Solitons · Physics 2019-12-18 M. I. Molina , L. Q. English , M-H. Chang , P. G. Kevrekidis

Using dynamical mean-field theory (DMFT) we study a simplified model for heterostructures involving superconductors. The system is driven out-of-equilibrium by a voltage bias, imposed as an imbalance of chemical potential at the interface.…

Strongly Correlated Electrons · Physics 2016-03-21 A. Amaricci , M. Capone

We provide a review of recently-develop dynamical mean-field theory (DMFT) approaches to the general problem of strongly correlated electronic systems with disorder. We first describe the standard DMFT approach, which is exact in the limit…

Strongly Correlated Electrons · Physics 2023-02-16 E. Miranda , V. Dobrosavljevic

The persistent current in strictly one-dimensional Dirac systems is investigated within two different models, defined in the continuum and on a lattice, respectively. The object of the study is the effect of a single magnetic or nonmagnetic…

Mesoscale and Nanoscale Physics · Physics 2013-11-06 Doru Sticlet , Balázs Dóra , Jérôme Cayssol

The modified discrete nonlinear Schr\"odinger equation is used to study the formation of stationary localized states in a one-dimensional lattice with a single impurity and an asymmetric dimer impurity. A periodically modulated and a…

Disordered Systems and Neural Networks · Physics 2015-06-25 Bikash C. Gupta , Sang Bub Lee

We review the dynamical mean-field theory of strongly correlated fermion systems which is based on a mapping of lattice models onto quantum impurity models subject to a self-consistency condition. This mapping is exact in the limit of large…

Condensed Matter · Physics 2007-05-23 A. Georges , G. Kotliar , W. Krauth , M. J. Rozenberg

Nanoscale optoelectronics and molecular-electronics systems operate with current injection and nonequilibrium tunneling, phenomena that challenge consistent descriptions of the steady-state transport. The current affects the…

Other Condensed Matter · Physics 2009-11-13 Per Hyldgaard

A kinetic theory describing the motion of an impurity particle in a degenerate Tonks-Girardeau gas is presented. The theory is based on the one-dimensional Boltzmann equation. An iterative procedure for solving this equation is proposed,…

Quantum Gases · Physics 2014-10-01 O. Gamayun , O. Lychkovskiy , V. Cheianov

Analytic solution is given in the steady state limit for the system of Master equations describing a random walk on one-dimensional periodic lattices with arbitrary hopping rates containing one mobile, directional impurity (defect bond).…

Statistical Mechanics · Physics 2009-10-28 Z. Toroczkai , R. K. P. Zia

Nonequilibrium steady states in an open system connecting two reservoirs of platelike colloidal particles are investigated by means of a recently proposed phenomenological dynamic density functional theory [M. Bier and R. van Roij, Phys.…

Soft Condensed Matter · Physics 2011-09-14 Markus Bier , Rene van Roij

The diffusion equation for nonequilibrium interstitial impurity atoms taking into account their charge states and drift of all mobile interstitial species in the built-in electric field and in the field of elastic stress was obtained. The…

Materials Science · Physics 2007-05-23 O. I. Velichko

We study the interplay of disorder with pumping and decay in coupled qubit-cavity arrays, the Jaynes-Cummings-Hubbard model. We find that relatively weak disorder can wash out the bistability present in the clean pumped system, and that…

Disordered Systems and Neural Networks · Physics 2013-02-05 Gytis Kulaitis , Frank Krüger , Felix Nissen , Jonathan Keeling

We investigate velocity statistics of an impurity immersed in a uniform granular fluid. An analytic solution of the inelastic Maxwell model shows that a phase transition occurs in the cooling case. Light impurities have similar velocity…

Statistical Mechanics · Physics 2007-05-23 E. Ben-Naim , P. L. Krapivsky

The accurate theoretical description of materials with strongly correlated electrons is a formidable challenge in condensed matter physics and computational chemistry. Dynamical Mean Field Theory (DMFT) is a successful approach that…

We develop the nonequilibrium extension of bosonic dynamical mean field theory (BDMFT) and a Nambu real-time strong-coupling perturbative impurity solver. In contrast to Gutzwiller mean-field theory and strong coupling perturbative…

Quantum Gases · Physics 2015-04-03 Hugo U. R. Strand , Martin Eckstein , Philipp Werner

The real-time dynamics of interacting electrons out of equilibrium contains detailed microscopic information about electronically correlated materials, which can be read out with time-resolved optical spectroscopy. The reflectivity that is…

Strongly Correlated Electrons · Physics 2008-12-08 Martin Eckstein , Marcus Kollar

Correlated, or extended, impurities play an important role in the transport properties of dirty metals. Here, we examine, in the framework of a tight-binding lattice, the transmission of a single electron through an array of correlated…

Other Condensed Matter · Physics 2009-11-11 Wonkee Kim , L. Covaci , F. Marsiglio

We present a functional interpolation approach within the auxiliary master equation framework to efficiently and accurately solve correlated impurity problems in nonequilibrium dynamical mean-field theory (DMFT). By leveraging a near-exact…

Strongly Correlated Electrons · Physics 2025-06-13 Daniel Werner , Enrico Arrigoni